The Iowa Tests of Basic Skills is a collection of various achievement tests given to students in grades 1 - 8. Student achievement levels are reported on a scale that runs from 0 to 13. The North Snowshoe Community Schools are evaluating their reading program for students whose native language is not English. In one part of the study the reading comprehension of 10 students, randomly selected from a large population of students in the program, take the Reading Comprehension test in third and fourth grade. Their scores for each year, in grade equivalents, are listed below.

Student #

1

2

3

4

5

6

7

8

9

10

3rd Grade

Score

3.5

3.2

2.7

3.9

3.5

5.8

4.6

2.5

2.4

3.5

4th Grade

Score

4.8

3.5

2.6

4.8

4.2

6.5

5.2

2.9

2.2

3.7

"Normal" growth, by definition, is a change of 1.0. Using the data above, write and test the hypothesis that the difference in means for 3rd and 4th grade students in this program for non-native English speakers is equal to 1.0. (Use a significance level of= 0.05) Explain what test you used and show work.